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A population of 50 coyotes is normally distributed and has a mean incisor length of 16.5...

A population of 50 coyotes is normally distributed and has a mean incisor length of 16.5 mm. Based on your understanding of statistical distributions and standard deviations, how many coyotes have incisors within 1 standard deviation of the mean?

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Answer #1

Concept of Standard Deviation was put forward by Karl Pearson. SD is a measure of dispersion. It indicate how spread the data is. For a given set of values with its mean given, SD measures whether the difference of each value from its mean by chance or real.

Distribution of data symmetrically around the mean is called normal distribution. Area under normal curve is equal to one. 68% of the area of normal distrtibution is within 1SD of the mean. or area between one SD on either side of mean will include 68% of values.

Here there are total of 50 coyotes distriburted normally

About 68% of total coyotes will come within 1 SD of mean

calculating 68% of 50

Answer is 34

34 coyotes have incisors within 1 SD of the mean

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